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Stewart_Calc_7ET ch12sec02
MULTIPLE CHOICE
1. Two forces with magnitudes 8 lb and 12 lb act on an object at a point P as shown in
the figure. Find the magnitude of the resultant force F acting at P. Round the result to the
nearest tenth.
a.
b.
c.
d.
e.
2. Find the unit vectors that are parallel to the tangent line to the curve at the point
.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. A woman walks due west on the deck of a ship at mi/h. The ship is moving north at a speed
of mi/h. Find the speed of the woman relative to the surface of the water. Round the
result to the nearest tenth.
2. The tension T at each end of the chain has magnitude N and makes an angle
with the horizontal. What is the weight of the chain? Round the result to the nearest
hundredth.
3. Velocities have both direction and magnitude and thus are vectors. The magnitude of a
velocity vector is called speed. Suppose that a wind is blowing from the direction N W at
a speed of km/h. (This means that the direction from which the wind blows is west of
the northerly direction.) A pilot is steering a plane in the direction N E at an airspeed
(speed in still air) of km/h. The true course, or track, of the plane is the direction of the
resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is
the magnitude of the resultant. Find the ground speed of the plane. Round the result to the
nearest hundredth.
